82141612800 has 432 divisors, whose sum is σ = 293635872768. Its totient is φ = 20101939200.

The previous prime is 82141612789. The next prime is 82141612853. The reversal of 82141612800 is 821614128.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47672739 + ... + 47674461.

Almost surely, 2^82141612800 is an apocalyptic number.

82141612800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82141612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146817936384).

82141612800 is an abundant number, since it is smaller than the sum of its proper divisors (211494259968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82141612800 is a wasteful number, since it uses less digits than its factorization.

82141612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 82141612800 in words is "eighty-two billion, one hundred forty-one million, six hundred twelve thousand, eight hundred".